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Finding the Fourth Proportional to 7,000.17, 9,659.77 and 3,856.35

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Solution

The fourth proportional to 7,000.17, 9,659.77 and 3,856.35 is: 5,321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.17 : 9,659.77 = 3,856.35 : x
  2. Step 2: Convert to fraction form
    7,000.17/9,659.77 = 3,856.35/x
  3. Step 3: Cross multiply
    7,000.17x = 9,659.77 × 3,856.35
  4. Step 4: Simplify right side
    7,000.17x = 37,251,454.04
  5. Step 5: Solve for x
    x = 37,251,454.04/7,000.17
  6. Step 6: Final answer
    x = 5,321.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.